Modern systems are mostly coupled together. Therefore, they should be modeled as interdependent networks. In this paper, the robustness of interdependent networks coupled with different type networks is studied in detail under both targeted and random attack. The critical fraction of nodes...

We consider a q-TASEP model started from step initial condition where all but finitely many particles have speed 1 and a few particles are slower. It is shown in Ferrari and Veto (2013) that the rescaled particles position of q-TASEP with identical hopping rates obeys a limit theorem à la...

In this paper, we discuss a voting model in which voters can obtain information from a finite number of previous voters. There exist three groups of voters:

In this investigation, we examine the univariate as well as the multivariate capabilities of the log-periodic [super-exponential] power law (LPPL) for the prediction of bank runs. The research is built upon daily CDS spreads of 40 international banks for the period from June 2007 to March 2010,...

It has been hard to model a crowd evacuation process considering different walking abilities using a synchronous cellular automaton. That is because the cross and the overlaps of routes have to be taken into consideration and the conflicts resolution between pedestrians is more complex. However,...

We propose a mechanism for prostate cancer cell lines growth, LNCaP and PC3 based on a Gompertz dynamics. This growth exhibits a multifractal behavior and a “second order” phase transition. Finally, it was found that the cellular line PC3 exhibits a higher value of entropy production rate...

Thermodynamic properties of a DNA hairpin are investigated employing non-Boltzmann Monte Carlo simulation. We model the DNA hairpin as a polymer on a two dimensional square lattice. We Consider bond fluctuation model with each bead occupying four-sites. The system exhibits a transition from a...

The Internet age is changing the structure of science, and affecting interdisciplinary interactions. Publication profiles connecting mathematics with molecular biology and condensed matter physics over the last 40 years exhibit common phase transitions indicative of the critical role played by...

The non extensive thermodynamics of an ideal gas composed by bosons and/or fermions is derived from its partition function for systems with finite chemical potentials. It is shown that the thermodynamical quantities derived in the present work are in agreement with those obtained in previous...

We study the wavepacket dynamics of two interacting particles under an aperiodic potential that can be continuously tuned from a pseudo-random to a uniform regime. Assuming an on-site Hubbard interaction, we show that the influence of interaction is not strong enough to change the characteristic...